Kilobits per hour (Kb/hour) to Terabits per day (Tb/day) conversion

Kilobits per hour to Terabits per day conversion table

Kilobits per hour (Kb/hour)Terabits per day (Tb/day)
00
12.4e-8
24.8e-8
37.2e-8
49.6e-8
51.2e-7
61.44e-7
71.68e-7
81.92e-7
92.16e-7
102.4e-7
204.8e-7
307.2e-7
409.6e-7
500.0000012
600.00000144
700.00000168
800.00000192
900.00000216
1000.0000024
10000.000024

How to convert kilobits per hour to terabits per day?

To convert 1 kilobit per hour (Kbps) to terabits per day (Tb/day), we need to follow these steps:

  1. Convert hours to days
  2. Convert kilobits to terabits

Given that:

  • There are 24 hours in a day
  • For base 10 (SI units), 1 kilobit (Kbit) = 1,000 bits
  • For base 2 (binary), 1 kilobit (Kb) = 1,024 bits
  • For base 10 (SI units), 1 terabit (Tbit) = 10^12 bits
  • For base 2 (binary), 1 terabit (Tbit) = 2^40 bits

Base 10 (SI units):

  1. Convert hours to days: 1 kilobit per hour * 24 hours/day = 24 kilobits per day

  2. Convert kilobits to terabits: 24 kilobits/day×1,000 bits1 kilobit=24,000 bits/day24 \text{ kilobits/day} \times \frac{1,000 \text{ bits}}{1 \text{ kilobit}} = 24,000 \text{ bits/day}

  3. Convert bits to terabits: 24,000 bits/day×1 terabit1012 bits=241012 terabits/day=2.4×1011 terabits/day24,000 \text{ bits/day} \times \frac{1 \text{ terabit}}{10^{12} \text{ bits}} = \frac{24}{10^{12}} \text{ terabits/day} = 2.4 \times 10^{-11} \text{ terabits/day}

Base 2 (Binary):

  1. Convert hours to days: 1 kilobit per hour * 24 hours/day = 24 kilobits per day

  2. Convert kilobits to terabits: 24 kilobits/day×1,024 bits1 kilobit=24×1,024 bits/day=24,576 bits/day24 \text{ kilobits/day} \times \frac{1,024 \text{ bits}}{1 \text{ kilobit}} = 24 \times 1,024 \text{ bits/day} = 24,576 \text{ bits/day}

  3. Convert bits to terabits: 24,576 bits/day×1 terabit240 bits=24,5761,099,511,627,776 terabits/day2.236×108 terabits/day24,576 \text{ bits/day} \times \frac{1 \text{ terabit}}{2^{40} \text{ bits}} = \frac{24,576}{1,099,511,627,776} \text{ terabits/day} \approx 2.236 \times 10^{-8} \text{ terabits/day}

Summary:

  • Base 10 (SI units): 1 Kbps=2.4×1011 Tb/day1 \text{ Kbps} = 2.4 \times 10^{-11} \text{ Tb/day}
  • Base 2 (Binary): 1 Kbps=2.236×108 Tb/day1 \text{ Kbps} = 2.236 \times 10^{-8} \text{ Tb/day}

Real-World Examples of Kilobits per Hour:

  1. Internet Speed for Low Bandwidth Applications:

    • A voice over IP (VoIP) phone call can use approximately 24 Kbps.
    • In one hour, this would be 24 Kbps * 60 minutes * 60 seconds = 1,440 kilobits per hour.
  2. Data Transmission for IoT Devices:

    • An IoT sensor might transmit data at a rate of 5 Kbps.
    • In one hour, this would be 5 Kbps * 60 minutes * 60 seconds = 300 kilobits per hour.
  3. Low-Resolution Video Streaming:

    • A very low-resolution video stream might use about 100 Kbps.
    • In one hour, this would be 100 Kbps * 60 minutes * 60 seconds = 6,000 kilobits per hour.

Converting to Terabits per Day:

For the above examples, convert the hourly kilobit rate to daily terabit rate similarly as discussed above. For instance, for the 24 Kbps VoIP call:

  • Base 10: 1,440 Kbps per hour × 24 hours/day = 34,560 Kbps/day = 3.456 × 10^{-8} Tb/day
  • Base 2: 1,440 Kbps per hour × 24 hours/day = 34,560 Kbps/day = 35,737,856 bits/day ≈ 3.253 × 10^{-5} Tb/day

Understanding these conversions will help in assessing data transfer needs for various applications and comparing service plans.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Terabits per day to other unit conversions.

What is Kilobits per hour?

Kilobits per hour (kbph or kb/h) is a unit used to measure the speed of data transfer. It indicates the number of kilobits (thousands of bits) of data that are transmitted or processed in one hour. This unit is commonly used to express relatively slow data transfer rates.

Understanding Kilobits and Bits

Before diving into kilobits per hour, let's clarify the basics:

  • Bit: The fundamental unit of information in computing, represented as either 0 or 1.

  • Kilobit (kb): A unit of data equal to 1,000 bits (decimal, base 10) or 1,024 bits (binary, base 2).

    • Decimal: 1 kb = 10310^3 bits = 1,000 bits
    • Binary: 1 kb = 2102^{10} bits = 1,024 bits

Defining Kilobits per Hour

Kilobits per hour signifies the quantity of data, measured in kilobits, that can be moved or processed over a period of one hour. It is calculated as:

Data Transfer Rate (kbph)=Amount of Data (kb)Time (hour)\text{Data Transfer Rate (kbph)} = \frac{\text{Amount of Data (kb)}}{\text{Time (hour)}}

Decimal vs. Binary Kilobits per Hour

Since a kilobit can be interpreted in both decimal (base 10) and binary (base 2), the value of kilobits per hour will differ depending on the base used:

  • Decimal (Base 10): 1 kbph = 1,000 bits per hour
  • Binary (Base 2): 1 kbph = 1,024 bits per hour

In practice, the decimal definition is more commonly used, especially when dealing with network speeds and storage capacities.

Real-World Examples of Kilobits per Hour

While modern internet connections are significantly faster, kilobits per hour was relevant in earlier stages of technology.

  • Early Dial-up Modems: Very old dial-up connections operated at speeds in the range of a few kilobits per hour (e.g., 2.4 kbph, 9.6 kbph).
  • Machine to Machine (M2M) communication: Certain very low bandwidth applications for sensor data transfer might operate in this range, such as very infrequent updates from remote monitoring devices.

Historical Context and Relevance

While there isn't a specific law or famous person directly associated with kilobits per hour, the concept of data transfer rates is deeply rooted in the history of computing and telecommunications. Claude Shannon, an American mathematician, and electrical engineer, is considered the "father of information theory." His work laid the foundation for understanding data compression and reliable communication, concepts fundamental to data transfer rates. You can read more about Claude Shannon.

What is Terabits per day?

Terabits per day (Tbps/day) is a unit of data transfer rate, representing the amount of data transferred in terabits over a period of one day. It is commonly used to measure high-speed data transmission rates in telecommunications, networking, and data storage systems. Because of the different definition for prefixes such as "Tera", the exact number of bits can change based on the context.

Understanding Terabits per Day

A terabit is a unit of information equal to one trillion bits (1,000,000,000,000 bits) when using base 10, or 2<sup>40</sup> bits (1,099,511,627,776 bits) when using base 2. Therefore, a terabit per day represents the transfer of either one trillion or 1,099,511,627,776 bits of data each day.

Base 10 vs. Base 2 Interpretation

Data transfer rates are often expressed in both base 10 (decimal) and base 2 (binary) interpretations. The difference arises from how prefixes like "Tera" are defined.

  • Base 10 (Decimal): In the decimal system, a terabit is exactly 101210^{12} bits (1 trillion bits). Therefore, 1 Tbps/day (base 10) is:

    1 Tbps/day=1012 bits/day1 \text{ Tbps/day} = 10^{12} \text{ bits/day}

  • Base 2 (Binary): In the binary system, a terabit is 2402^{40} bits (1,099,511,627,776 bits). This is often referred to as a "tebibit" (Tib). Therefore, 1 Tbps/day (base 2) is:

    1 Tbps/day=240 bits/day=1,099,511,627,776 bits/day1 \text{ Tbps/day} = 2^{40} \text{ bits/day} = 1,099,511,627,776 \text{ bits/day}

    It's important to clarify which base is being used to avoid confusion.

Real-World Examples and Implications

While expressing common data transfer rates directly in Tbps/day might not be typical, we can illustrate the scale by considering scenarios and then translating to this unit:

  • High-Capacity Data Centers: Large data centers handle massive amounts of data daily. A data center transferring 100 petabytes (PB) of data per day (base 10) would be transferring:

    100 PB/day=100×1015 bytes/day=8×1017 bits/day=800 Tbps/day100 \text{ PB/day} = 100 \times 10^{15} \text{ bytes/day} = 8 \times 10^{17} \text{ bits/day} = 800 \text{ Tbps/day}

  • Backbone Network Transfers: Major internet backbone networks move enormous volumes of traffic. Consider a hypothetical scenario where a backbone link handles 50 petabytes (PB) of data daily (base 2):

    50 PB/day=50×250 bytes/day=4.50×1017 bits/day=450 Tbps/day50 \text{ PB/day} = 50 \times 2^{50} \text{ bytes/day} = 4.50 \times 10^{17} \text{ bits/day} = 450 \text{ Tbps/day}

  • Intercontinental Data Cables: Undersea cables that connect continents are capable of transferring huge amounts of data. If a cable can transfer 240 terabytes (TB) a day (base 10):

    240 TB/day=2401012bytes/day=1.921015bits/day=1.92 Tbps/day240 \text{ TB/day} = 240 * 10^{12} \text{bytes/day} = 1.92 * 10^{15} \text{bits/day} = 1.92 \text{ Tbps/day}

Factors Affecting Data Transfer Rates

Several factors can influence data transfer rates:

  • Bandwidth: The capacity of the communication channel.
  • Latency: The delay in data transmission.
  • Technology: The type of hardware and protocols used.
  • Distance: Longer distances can increase latency and signal degradation.
  • Network Congestion: The amount of traffic on the network.

Relevant Laws and Concepts

  • Shannon's Theorem: This theorem sets a theoretical maximum for the data rate over a noisy channel. While not directly stating a "law" for Tbps/day, it governs the limits of data transfer.

    Read more about Shannon's Theorem here

  • Moore's Law: Although primarily related to processor speeds, Moore's Law generally reflects the trend of exponential growth in technology, which indirectly impacts data transfer capabilities.

    Read more about Moore's Law here

Complete Kilobits per hour conversion table

Enter # of Kilobits per hour
Convert 1 Kb/hour to other unitsResult
Kilobits per hour to bits per second (Kb/hour to bit/s)0.2777777777778
Kilobits per hour to Kilobits per second (Kb/hour to Kb/s)0.0002777777777778
Kilobits per hour to Kibibits per second (Kb/hour to Kib/s)0.0002712673611111
Kilobits per hour to Megabits per second (Kb/hour to Mb/s)2.7777777777778e-7
Kilobits per hour to Mebibits per second (Kb/hour to Mib/s)2.6490953233507e-7
Kilobits per hour to Gigabits per second (Kb/hour to Gb/s)2.7777777777778e-10
Kilobits per hour to Gibibits per second (Kb/hour to Gib/s)2.5870071517097e-10
Kilobits per hour to Terabits per second (Kb/hour to Tb/s)2.7777777777778e-13
Kilobits per hour to Tebibits per second (Kb/hour to Tib/s)2.5263741715915e-13
Kilobits per hour to bits per minute (Kb/hour to bit/minute)16.666666666667
Kilobits per hour to Kilobits per minute (Kb/hour to Kb/minute)0.01666666666667
Kilobits per hour to Kibibits per minute (Kb/hour to Kib/minute)0.01627604166667
Kilobits per hour to Megabits per minute (Kb/hour to Mb/minute)0.00001666666666667
Kilobits per hour to Mebibits per minute (Kb/hour to Mib/minute)0.0000158945719401
Kilobits per hour to Gigabits per minute (Kb/hour to Gb/minute)1.6666666666667e-8
Kilobits per hour to Gibibits per minute (Kb/hour to Gib/minute)1.5522042910258e-8
Kilobits per hour to Terabits per minute (Kb/hour to Tb/minute)1.6666666666667e-11
Kilobits per hour to Tebibits per minute (Kb/hour to Tib/minute)1.5158245029549e-11
Kilobits per hour to bits per hour (Kb/hour to bit/hour)1000
Kilobits per hour to Kibibits per hour (Kb/hour to Kib/hour)0.9765625
Kilobits per hour to Megabits per hour (Kb/hour to Mb/hour)0.001
Kilobits per hour to Mebibits per hour (Kb/hour to Mib/hour)0.0009536743164063
Kilobits per hour to Gigabits per hour (Kb/hour to Gb/hour)0.000001
Kilobits per hour to Gibibits per hour (Kb/hour to Gib/hour)9.3132257461548e-7
Kilobits per hour to Terabits per hour (Kb/hour to Tb/hour)1e-9
Kilobits per hour to Tebibits per hour (Kb/hour to Tib/hour)9.0949470177293e-10
Kilobits per hour to bits per day (Kb/hour to bit/day)24000
Kilobits per hour to Kilobits per day (Kb/hour to Kb/day)24
Kilobits per hour to Kibibits per day (Kb/hour to Kib/day)23.4375
Kilobits per hour to Megabits per day (Kb/hour to Mb/day)0.024
Kilobits per hour to Mebibits per day (Kb/hour to Mib/day)0.02288818359375
Kilobits per hour to Gigabits per day (Kb/hour to Gb/day)0.000024
Kilobits per hour to Gibibits per day (Kb/hour to Gib/day)0.00002235174179077
Kilobits per hour to Terabits per day (Kb/hour to Tb/day)2.4e-8
Kilobits per hour to Tebibits per day (Kb/hour to Tib/day)2.182787284255e-8
Kilobits per hour to bits per month (Kb/hour to bit/month)720000
Kilobits per hour to Kilobits per month (Kb/hour to Kb/month)720
Kilobits per hour to Kibibits per month (Kb/hour to Kib/month)703.125
Kilobits per hour to Megabits per month (Kb/hour to Mb/month)0.72
Kilobits per hour to Mebibits per month (Kb/hour to Mib/month)0.6866455078125
Kilobits per hour to Gigabits per month (Kb/hour to Gb/month)0.00072
Kilobits per hour to Gibibits per month (Kb/hour to Gib/month)0.0006705522537231
Kilobits per hour to Terabits per month (Kb/hour to Tb/month)7.2e-7
Kilobits per hour to Tebibits per month (Kb/hour to Tib/month)6.5483618527651e-7
Kilobits per hour to Bytes per second (Kb/hour to Byte/s)0.03472222222222
Kilobits per hour to Kilobytes per second (Kb/hour to KB/s)0.00003472222222222
Kilobits per hour to Kibibytes per second (Kb/hour to KiB/s)0.00003390842013889
Kilobits per hour to Megabytes per second (Kb/hour to MB/s)3.4722222222222e-8
Kilobits per hour to Mebibytes per second (Kb/hour to MiB/s)3.3113691541884e-8
Kilobits per hour to Gigabytes per second (Kb/hour to GB/s)3.4722222222222e-11
Kilobits per hour to Gibibytes per second (Kb/hour to GiB/s)3.2337589396371e-11
Kilobits per hour to Terabytes per second (Kb/hour to TB/s)3.4722222222222e-14
Kilobits per hour to Tebibytes per second (Kb/hour to TiB/s)3.1579677144893e-14
Kilobits per hour to Bytes per minute (Kb/hour to Byte/minute)2.0833333333333
Kilobits per hour to Kilobytes per minute (Kb/hour to KB/minute)0.002083333333333
Kilobits per hour to Kibibytes per minute (Kb/hour to KiB/minute)0.002034505208333
Kilobits per hour to Megabytes per minute (Kb/hour to MB/minute)0.000002083333333333
Kilobits per hour to Mebibytes per minute (Kb/hour to MiB/minute)0.000001986821492513
Kilobits per hour to Gigabytes per minute (Kb/hour to GB/minute)2.0833333333333e-9
Kilobits per hour to Gibibytes per minute (Kb/hour to GiB/minute)1.9402553637822e-9
Kilobits per hour to Terabytes per minute (Kb/hour to TB/minute)2.0833333333333e-12
Kilobits per hour to Tebibytes per minute (Kb/hour to TiB/minute)1.8947806286936e-12
Kilobits per hour to Bytes per hour (Kb/hour to Byte/hour)125
Kilobits per hour to Kilobytes per hour (Kb/hour to KB/hour)0.125
Kilobits per hour to Kibibytes per hour (Kb/hour to KiB/hour)0.1220703125
Kilobits per hour to Megabytes per hour (Kb/hour to MB/hour)0.000125
Kilobits per hour to Mebibytes per hour (Kb/hour to MiB/hour)0.0001192092895508
Kilobits per hour to Gigabytes per hour (Kb/hour to GB/hour)1.25e-7
Kilobits per hour to Gibibytes per hour (Kb/hour to GiB/hour)1.1641532182693e-7
Kilobits per hour to Terabytes per hour (Kb/hour to TB/hour)1.25e-10
Kilobits per hour to Tebibytes per hour (Kb/hour to TiB/hour)1.1368683772162e-10
Kilobits per hour to Bytes per day (Kb/hour to Byte/day)3000
Kilobits per hour to Kilobytes per day (Kb/hour to KB/day)3
Kilobits per hour to Kibibytes per day (Kb/hour to KiB/day)2.9296875
Kilobits per hour to Megabytes per day (Kb/hour to MB/day)0.003
Kilobits per hour to Mebibytes per day (Kb/hour to MiB/day)0.002861022949219
Kilobits per hour to Gigabytes per day (Kb/hour to GB/day)0.000003
Kilobits per hour to Gibibytes per day (Kb/hour to GiB/day)0.000002793967723846
Kilobits per hour to Terabytes per day (Kb/hour to TB/day)3e-9
Kilobits per hour to Tebibytes per day (Kb/hour to TiB/day)2.7284841053188e-9
Kilobits per hour to Bytes per month (Kb/hour to Byte/month)90000
Kilobits per hour to Kilobytes per month (Kb/hour to KB/month)90
Kilobits per hour to Kibibytes per month (Kb/hour to KiB/month)87.890625
Kilobits per hour to Megabytes per month (Kb/hour to MB/month)0.09
Kilobits per hour to Mebibytes per month (Kb/hour to MiB/month)0.08583068847656
Kilobits per hour to Gigabytes per month (Kb/hour to GB/month)0.00009
Kilobits per hour to Gibibytes per month (Kb/hour to GiB/month)0.00008381903171539
Kilobits per hour to Terabytes per month (Kb/hour to TB/month)9e-8
Kilobits per hour to Tebibytes per month (Kb/hour to TiB/month)8.1854523159564e-8

Data transfer rate conversions